Sift together the flour, sugar, nutmeg, and salt, and set aside.
In a large bowl, beat the eggs and milk together with a mixer or by hand.
Mix in the flour mixture until everything has been incorporated. Then stir in melted butter and vanilla extract.
Let the batter rest for about an hour in the refrigerator or overnight.
Heat a skillet or a non-stick frying pan, then lightly coat it with vegetable oil, cooking spray, or clarified butter.
Pour about a ½ cup of batter, depending on the size of your fry pan or skillet. Tilt the pan so the batter spreads across the bottom of the pan. Cook the pancake for about 2 minutes, or until the bottom is lightly browned. Lift it with a spatula, turn, and cook the other side.
Serve hot, sprinkled with cinnamon sugar, powdered sugar, or syrup. You could also fill them with nut butter, jam, or cream cheese.